Exploring nth Roots and Radicals

What does the cube root of a number represent?

• The number that when cubed gives the original number

• The number that when squared gives the original number

• The number that when multiplied by three gives the original number

• The number that when divided by three equals the original number

What is the real cube root of 125?

• 5

• 25

• 15

• 3

How many real fourth roots does 16 have?

• 1

• 4

• 3

• 2

How can you express 16 to the power of 1/4 using roots?

• The fourth root of 16

• The square root of 16

• The cube root of 16

• 16 divided by 4

What is the result of 27 to the power of 2/3?

• 9

• 3

• 6

• 18

What does the expression 32 to the 3/5 power simplify to?

• 8

• 2

• 16

• 4

What is the simplified form of 50 to the 3/4 power?

• 25

• 50

• 200

• 100

What is the principal root of an even index?

• It must be negative

• It can be any real number

• It must be zero

• It must be non-negative

What is the cube root of a negative number?

• A negative number

• A positive number

• Zero

• Undefined

What is the value of x when 2x to the fifth equals 64?

• 16

• 8

• 4

• 2